Q: What are the factor combinations of the number 1,000,705?

 A:
Positive:   1 x 10007055 x 20014117 x 5886561 x 1640585 x 11773193 x 5185305 x 3281965 x 1037
Negative: -1 x -1000705-5 x -200141-17 x -58865-61 x -16405-85 x -11773-193 x -5185-305 x -3281-965 x -1037


How do I find the factor combinations of the number 1,000,705?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 1,000,705, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 1,000,705
-1 -1,000,705

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,000,705.

Example:
1 x 1,000,705 = 1,000,705
and
-1 x -1,000,705 = 1,000,705
Notice both answers equal 1,000,705

With that explanation out of the way, let's continue. Next, we take the number 1,000,705 and divide it by 2:

1,000,705 ÷ 2 = 500,352.5

If the quotient is a whole number, then 2 and 500,352.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 1,000,705
-1 -1,000,705

Now, we try dividing 1,000,705 by 3:

1,000,705 ÷ 3 = 333,568.3333

If the quotient is a whole number, then 3 and 333,568.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 1,000,705
-1 -1,000,705

Let's try dividing by 4:

1,000,705 ÷ 4 = 250,176.25

If the quotient is a whole number, then 4 and 250,176.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 1,000,705
-1 1,000,705
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151761851933059651,0373,2815,18511,77316,40558,865200,1411,000,705
-1-5-17-61-85-193-305-965-1,037-3,281-5,185-11,773-16,405-58,865-200,141-1,000,705

More Examples

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